In this paper, 2D and 3D meso‐models of concrete are developed numerically using different shapes of aggregate. For 2D model, circular and random polygon aggregate shapes are considered while for 3D model, spherical and convex hull aggregate shapes are adopted. Five different spatial distributions are employed in both circular and polygon shapes to get Circle1–Circle5 and Poly1–Poly5 geometrical model. Similarly, for 3D meso‐model, Spherical1–Spherical5 and one Convex hull geometrical models are developed. In all the numerical models, three different phases of concrete are considered, that is aggregate, mortar, and interfacial transition zone. Explicit analysis of the developed models has been performed using LS‐DYNA. All the developed models are verified by comparing the obtained results of stress–strain variations with the existing literature. The behavior of concrete is studied for both the loading conditions, that is quasi‐static and high strain loading rate. Added to this, the effect of spatial distribution of aggregates is also evaluated. Finally, the dynamic impact factors (DIF) are evaluated and compared for all the developed numerical models. Finally, cubic polynomial equations for DIF, for different shape aggregate 3D models, are obtained using regression analysis.